Should I wait or leave?

I’ve been dating this guy since late February and honestly I’m happy. He was in a long term relationship until last December and he’s on good terms his with ex. At first I felt a bit insecure and jealous but after a while I just let it go. Why waste energy on worrying when he’s been truthful throughout our relationship. At the moment we’re just hanging out and getting to know each other but I want to make things official when we hit three months in May. Recently we had a really amazing date that he planned, we were going to go back to my place to play video games before sleeping over at his but my roommate didn’t want him over. I asked why and I got home first to change (my date was waiting outside near my car) then she told me everything. I was a few drinks in so everything felt fast. My roommate told me that she snooped into his wallet to see what he’s like and found a Polaroid of him and his ex. I felt hurt and a bit confused but I decided that I wanted to talk to him about it first before making any irrational decisions. Later that night after we had sex I started to ask him questions. He was pretty forward and honest about it. He had a collection of Polaroids of him and his friends, he still had the picture of his ex and he forgot about it. I personally get having pictures of previous partners (I told him too that I have some pictures too but they’re hidden away) but I feel uncomfortable with him having it in his wallet still. He took the picture out and replaced it with the ones we took that night at an arcade. Since then he’s been a lot more affectionate and we’ve seen each other a lot more than previously. He’s always complimenting me and calling me pretty or beautiful, we cuddle a lot, and we just have a lot in common. This is the first time I’m actually dating someone since 2020 or 2021. I want to ask him to be my boyfriend but I also don’t know if I’m rushing him to date after being in a long term relationship. If I’m being honest I like how we are now, I just want the title and introduce him to people as my boyfriend rather than just saying his name or “this is the guy I’m currently seeing”. He was the first to say “I like you” and I really like being with him and getting to know him. He’s very communicative during sex and we like to laugh and check in on each other. I never really was able to be fully myself like I am with him, especially when we like to try new things out. Maybe I’m just impatient?